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Description:

Designed for the freshman/sophomore Calculus I-II-III sequence, the eighth edition continues to evolve to fulfill the needs of a changing market by providing flexible solutions to teaching and learning needs of all kinds. The new edition retains the strengths of earlier editions such as Anton's trademark clarity of exposition, sound mathematics, excellent exercises and examples, and appropriate level. Anton also incorporates new ideas that have withstood the objective scrutiny of many skilled and thoughtful instructors and their students.

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Book details

List price: $169.95 Edition: 8th Copyright year: 2005 Publisher: John Wiley & Sons, Incorporated Publication date: 1/21/2005 Binding: Hardcover Pages: 896 Size: 8.75" wide x 10.25" long x 1.25" tall Weight: 4.290 Language: English

AuthorTable of Contents

Stephen Davis is the author of numerous books, including "The New York Times" bestsellers "Hammer of the Gods: The Led Zeppelin Saga" & "Walk This Way: The Autobiography of Aerosmith", & coauthor of "Fleetwood", the memoirs of Fleetwood Mac drummer Mick Fleetwood. His journalism has appeared in "Rolling Stone", "The New York Times", "The Boston Globe", & many other publications. He lives in New England.

Functions

Functions

Graphing Functions Using Calculators and Computer Algebra Systems

New Functions from Old

Families of Functions

Inverse Functions Inverse Trigonometric Functions

Exponential and Logarithmic Functions

Mathematical Models

Parametric Equations 86

Limits And Continuity

Limits (An Intuitive Approach)

Computing Limits

Limits at Infinity End Behavior of a Function

Limits (Discussed More Rigorously)

Continuity

Continuity of Trigonometric and Inverse Functions

The Derivative

Tangent Lines, Velocity, and General Rates of Change

The Derivative Function

Techniques of Differentiation

The Product and Quotient Rules

Derivatives of Trigonometric Functions

The Chain Rule

Related Rates

Local Linear Approximation Differentials

Exponential, Logarithmic, And Inverse Trigonometric Functions

Implicit Differentiation

Derivatives of Logarithmic Functions

Derivatives of Exponential and Inverse Trigonometric Functions

L'H(pital's Rule Indeterminate Forms

The Derivative In Graphing And Applications

Analysis of Functions I: Increase, Decrease, and Concavity

Analysis of Functions II: Relative Extrema Graphing Polynomials

More on Curve Sketching: Rational Functions Curves with Cusps and Vertical Tangent Lines Using Technology

Absolute Maxima and Minima

Applied Maximum and Minimum Problems

Newton's Method

Rolle's Theorem Mean-Value Theorem

Rectilinear Motion

Integration

An Overview of the Area Problem

The Indefinite Integral

Integration by Substitution

The Definition of Area as a Limit Sigma Notation

The Definite Integral

The Fundamental Theorem of Calculus

Rectilinear Motion Revisited Using Integration

Evaluating Definite Integrals by Substitution

Applications Of The Definite Integral In Geometry, Science, And Engineering

Area Between Two Curves

Volumes by Slicing Disks and Washers

Volumes by Cylindrical Shells

Length of a Plane Curve

Area of a Surface of Revolution

Average Value of a Function and its Applications

Work

Fluid Pressure and Force

Hyperbolic Functions and Hanging Cables

Principles Of Integral Evaluation

An Overview of Integration Methods

Integration by Parts

Trigonometric Integrals

Trigonometric Substitutions

Integrating Rational Functions by Partial Fractions

Using Computer Algebra Systems and Tables of Integrals

Numerical Integration Simpson's Rule

Improper Integrals

Mathematical Modeling With Differential Equations

First-Order Differential Equations and Applications

Slope Fields Euler's Method

Modeling with First-Order Differential Equations

Second-Order Linear Homogeneous Differential Equations The Vibrating Spring

Infinite Series

Sequences

Monotone Sequences

Infinite Series

Convergence Tests

The Comparison, Ratio, and Root Tests

Alternating

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